Find an equation for the surface obtained by rotating the line x = 6y about the x-axis.

Answers

Answer 1

Answer:

[tex]\frac{x^2}{36}=y^2+z^2[/tex]

Step-by-step explanation:

If we loo at the xy plane and consider the point (6y, y, 0), it looks like a circular path that is a cone as the curve is rotated about the x axis. The equation of the cone has the form:

[tex]\frac{x^2}{c^2}=\frac{y^2}{a^2}+\frac{z^2}{b^2}[/tex]

Given that x = 6y, to make the equation to be in the form as seen above, we square x = 6y, hence:

x² = (6y)²

x² = 36y²

The path parallel to yz axis are circles, so the equation should be as that of a circle. We need to add 36z², hence:

x² = 36y² + 36z²

[tex]\frac{x^2}{36}=y^2+z^2[/tex]

[tex](\frac{x}{6})^2=y^2+z^2[/tex]

This equation is that of a circle with radius of r = y = x/6, the resulting surface is that of a cone


Related Questions

need help asap!!!! plsss i have 5min

Answers

Answer:

30

Step-by-step explanation:

x=10

x^2+3x-130=0

x=10 or -13

there is no negative angle so the answer is ten

which expression equals
[tex]9 \sqrt[3]{10} [/tex]

Answers

Answer:

B on edge

Step-by-step explanation:

5^3sqrt10+4^3sqrt10

Find the sixth term of this geometric sequence 3584,896,224

Answers

Answer:

3.5

Step-by-step explanation:

these are being decided by 4 everytime, so you can just continue the sequence. 3584,896,224,56,14,3.5

Delta pays Pete Rose $280 per day to work in the maintenance department at the airport. Pete became ill on Monday and went home
after of a day. What did he earn on Monday? Assume no work, no pay. (Do not round intermediate calculation.)

Answers

Answer:

5x280=1400

Step-by-step explanation:

$1400

if he works on the weekends then add 580

s0 $1980

According to a November 2019 report by CNN, the startup company Heliogen has devised a high-heat solar oven that can be used to create concrete and steel without the use of fossil fuels. Currently, the creation of these materials produces 7% of the world's carbon emissions from fossil fuels. If the world's total carbon emissions in 2018 was 37.1 billion tons, how much of that carbon came from the creation of these building materials? Give your answer in billions of tons. Round to two decimal places.

Answers

Answer:

37,1bilion tons*0,07=2,60 bilion tons (2d.p.)

Step-by-step explanation:

The common fraction for 4.759

Answers

It would most likely just be 4759/1000

Does meditation cure insomnia? Researchers randomly divided 400 people into two equal- sized groups. One group meditated daily for 30 minutes, the other group attended a 2-hour information session on insomnia. At the beginning of the study, the average difference between the number of minutes slept between the two groups was about 0. After the study, the average difference was about 32 minutes, and the meditation group had a higher average number of minutes slept. To test whether an average difference of 32 minutes could be attributed to chance, a statistics student decided to conduct a randomization test. She wrote the number of minutes slept by each subject in the study on an index card. She shuffled the cards together very well, and then dealt them into two equal-sized groups. Which of the following best describes the outcome?

Answers

Answer:

this is very long be shot question

Step-by-step explanation:

The best outcome will be that the average difference between the two sacks will be about Zero minutes.

Randomization Test

As per the question, at the beginning of the study the average difference was seen as 0 minutes, but after the experiment the average difference was of 32 minutes.

To Cross examine the study result, the researcher recorded the number of  minutes slept on an index card and shuffled the cards into two equal parts. There can be three outcomes of this test, these are:

The average difference will be about 0 minutes. The average difference will be more than 32 minutes.The average difference will be about 32 minutes.

There is three outcomes because of shuffling of the cards.

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(50 points)Zoya has to earn at least $300 to meet her fundraising goal. She has only 100 bracelets that she plans to sell at $5 each. Which inequality shows the number of bracelets, x, Zoya can sell to meet her goal? A.60 ≤ x ≤ 100 B. 60 ≤ x ≤ 300 C. 100 ≤ x ≤ 300 D.20 ≤ x ≤ 100 how do you solve this question need help please explain

Answers

Answer:

A

Step-by-step explanation:

5 X 60 = $300

she only needs to sell 60 bracelets, but sell up to 100

60 ≤ (must sell 60) x (number of bracelets she sells) ≤ 100 (number of bracelets she can sell)

hope this helps! sorry for being a bit late!

It takes Michael 0.30 hours to walk to school. How many seconds does it take him to walk to school?

Answers

Answer:

1080 seconds

Step-by-step explanation:

We need to multiply the 0.3 hours by 3600 to convert it to seconds.

0.3*3600=1080

Answer:

1200 sec

Step-by-step explanation:

.30 hours is equal to 20 minutes

60 sec in 1 min

60x20

6x2=12

1200

Which angles are corresponding angles?
Check all that apply.
2
1
4
3
5 6
В
7
D A. 4 and 8
B. 2 and 6
C. 4 and 6
D. 2 and 7
E. 3 and 6
F. 3 and 7

Answers

Answer:

E

Step-by-step explanation:

Answer:

The answer is E

Step-by-step explanation:

Hope this answer is helpful...

Hope this answer is helpful...

Hope this answer is helpful... Make me as brainliest....

what is the product?

x^2 -16 • x^3 - 2x^2 + x———— ——————–—
2x +8 x^2 +3x -4



Answers

Answer:

A) x(x-4)(x-1)/2(x+4)

Step-by-step explanation:

(x²-16)/(2x+8) * (x³-2x²+x)/(x²+3x-4)

factor

(x+4)(x-4)/2(x+4) * x(x-1)(x-1)/(x+4)(x-1)

You can take out both (x+4) from the first side, and both (x-1) on the second side.  Then you’re left with:

(x-4)/2 * x(x-1)/(x+4)

which equal

x(x-4)(x-1)/2(x+4)

which is A.

the product of three integers is -600 if two of them are -15 and 10 ,then find the third integer​

Answers

Answer:

4

Step-by-step explanation:

-15 times 10 equals -150

-600 divided by -150 equals 4

Answer is 4

hope this helps you :)

A store had a grand opening sale. During the sale, each person entering the store received
a coupon for 10% off their entire purchase. The table lists the number of people who received
a coupon.

Answers

can you post another picture of the question?

20 = –4t I need the answer asap

Answers

20= -4t
20/-4= t
-5 = t

t is -5

Answer:

[tex]t=-5[/tex]

Step-by-step explanation:

Let's solve this equation.

[tex]20=-4t[/tex]

Let's turn it around.

[tex]-4t=20[/tex]

Let's make this into a fraction and divide each side by -4

[tex]\frac{-4t}{-4} =\frac{20}{-4}[/tex]

And the answer is

[tex]t=-5[/tex]

Hope this helps!

what is 7 1/3 as a improper fraction

Answers

Answer:

22/3

Step-by-step explanation:

First, I multiplied 7 and 3 because 7 is the whole number and 3 is the denominator of the fraction.

7*3=21

Then, I added 21 to 1 because 1 is the numerator in the fraction.

21+1=22

Finally, I made it 22/3 because the denominator of the fraction is 3.

So, your final answer is 22/3.

[tex]$7\frac{1}{3}[/tex] as a improper fraction can be written as 22/3.

What is fraction? What are mixed fractions?A fraction is expressed in the form of {x/y}, where {y ≠ 0}. For example, we can write 2.3 in the form of fraction as : 2.3 = 23/10 and, we can write 2.2 in the form of fraction as : 2.2 = 22/10 = 11/5Mixed fractions are of the form : [tex]$x\frac{y}{z}[/tex]We can simplify them as : (z × x + y}/z

Given is to write 7 1/3 as a improper fraction.

An improper fraction is a fraction where the numerator is greater than or equal to the denominator. We can write that for a fraction {x/y} to be improper, the following conditions should be fulfilled -

{x} > {y}

or

{x} ≥ {y}

We can write 7 1/3 as a improper fraction as -

[tex]$7\frac{1}{3}[/tex] = [tex](3\times7+1)/3[/tex] = [tex]$\frac{22}{3}[/tex]

Therefore, [tex]$7\frac{1}{3}[/tex] as a improper fraction can be written as [tex]$\frac{22}{3}[/tex].

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what is 48 divide by -6 =

Answers

Answer:

-8

Step-by-step explanation:

any number divided by a nega is going to be neg if it is multiplied by two nega's its positive.

Which statements correctly compare the sum and product? Check all that apply. 1. Both functions have a constant rate of change. 2. The sum is linear and the product is quadratic. 3. The x-intercepts are the same. 4. The sum has one y-intercept and the product has two x-intercepts. 5. Both functions decrease for x > 2

Answers

Answer:

Step-by-step explanation:

B) the sum is linear and the product is quadratic

D) the sum has one y-intercept and the product has two x-intercepts

The sum is linear and the product is quadratic and The sum has one y-intercept and the product has two x-intercepts are two statements which compare the sum and product

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

We need to find the statements which correctly compare the sum and product

The given statements are

1. Both functions have a constant rate of change.

2. The sum is linear and the product is quadratic.

3. The x-intercepts are the same.

4. The sum has one y-intercept and the product has two x-intercepts.

5. Both functions decrease for x > 2

A linear function simply means a function that represents a straight line on the coordinate plane.

In this case, the sum is linear and the product is quadratic while the sum has one y-intercept and the product has two x-intercepts.

Hence, the sum is linear and the product is quadratic and The sum has one y-intercept and the product has two x-intercepts are two statements which compare the sum and product

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You are riding a roller coaster, your velocity is 13 feet per second

Answers

what’s the question though? we need to know what the question is to answer :) ❤️

Brianna has $75 saved. She works $12 per hour babysitting.
Part 1: Write an expression that represents how much money Brianna will
have total after workingh hours.
Part 2 How much money will she have after babysitting for 6.5 hours?

Answers

Answer:

$75 + $12x

$153 if you add the money she already had, $78 if you don't

Step-by-step explanation:

153 because my teacher told me

If 4700 bricks each of size 25 cm x 16 cm x 10 cm are required to construct a wall
20 m long and 20 cm wide containing two windows of size 2 m X 1.5 m each, find
the height of the wall.

Answers

Answer:

970 cm

Step-by-step explanation:

Given that:

Size of brick :

25cm × 16cm × 10cm

Number of bricks = 4700

Dimension of wall = 20 m long × 20 cm wide

Let the height = h

Hence, dimension of wall (length and height)

2000 cm × h

Dimension of window = 2m × 1.5m = 200cm × 150cm

Number of windows = 2

Total area covered by windows = 2 * (L * B)

= 2(200 * 150) = 60,000cm

Brick = (25 * 16) * 4700 = 1, 880, 000 cm ( length and height)

Wall = 2000 * height - 60,000 = 1880000

2000height - 60,000 = 1880000

2000height = 1880000 + 60,000

2000height = 1940000

Height = 1940000 / 2000

Height of wall = 970 cm

The quotient of a number squared and four?

Answers

Answer:

n^2/4

Step-by-step explanation:

If n is the number, squared is n^2

Quotient if this number and four is

n^2/4

The quotient of a number squared and four will be n² / 4.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Division means the separation of something into different parts, sharing of something among different people, places, etc.

The square of a number is the multiplication of that number with itself.

Let the number be n.

Then the square of the number n will be given as,

⇒ n²

The quotient of a number squared and four will be given as,

⇒ n² / 4

Thus, the quotient of a number squared and four will be n² / 4.

More about the Algebra link is given below.

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If five less than y is six more than x + 1, then by how

much is x less than y?

Answers

Answer:

12 more

Step-by-step explanation:

y-5= 6+ (x+1)

5+6+1=12

x is 12 less than y.

Five less than y is six more than x + 1,

y - 5= 6 + (x + 1)

5 + 6 + 1 = 12.

What are the steps in solving linear equations in one variable?

Step 1: Simplify each side, if needed.Step 2: Use Addition/Subtraction Properties to move the variable term to one side and all other terms to the other side.Step 3: Use Multiplication/Division.Step 4: Check your answer.

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7a+1+3=18


Please answer quickly!

Answers

Answer:

2

Step-by-step explanation:

So we have the equation:

[tex]7a+1+3=18[/tex]

Add 1 and 3:

[tex]7a+4=18[/tex]

Subtract 4 from both sides:

[tex]7a=14[/tex]

Divide both sides by 7:

[tex]a=2[/tex]

And we're done!

7a+1+3=18

combine like terms.

7a+4=18

subtract 4 from 18

7a=14

divide 14 by 7

a=2


Please answer quickly!

determine any data values that are missing from the table assuming that the data represent a linear function

Answers

Answer:

I think D

Step-by-step explanation:

I hope it's right and I hope you mark me brainlist

Answer:

the answer is b. missing x:1 missing y:2

Step-by-step explanation:

Write the polynomial in standard form that represents the perimeter of the quadrilateral
3x - 2
2x
12x+1
5x - 2
The solution is

Answers

Answer:

Linear function

Step-by-step explanation:

4

The polynomial in a standard form that represents the perimeter of the quadrilateral is [tex]22x-3[/tex].

Important information:

The side lengths of a quadrilateral are [tex]3x-2,2x,12x+1,5x-2[/tex].

We need to find the polynomial in a standard form that represents the perimeter of the quadrilateral.

Standard form of Polynomial:

The perimeter of the quadrilateral is the sum of all of its sides.

[tex]\text{Perimeter}=3x-2+2x+12x+1+5x-2[/tex]

[tex]\text{Perimeter}=22x-3[/tex]

Therefore, the polynomial in a standard form that represents the perimeter of the quadrilateral is [tex]22x-3[/tex].

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If B is the midpoint of AC. AB = 4v and AC = 5v + 24. what is BC?

Answers

Answer:

v+24

Step-by-step explanation:

I first drew a line with A in one side and C in the other side. Then, I put B in the middle, as it is the midpoint. Under AB, I put 4v, and under AC, I put 5v+24. To get BC, you must subtract 5v+24 and 4v. I did 5v+24-4v. All I really had to do was subtract 4v from 5v which gave me v, since I can only subtract like-term numbers. Anyway, after that, I got v+24. Hope this helped!

A book has 89 pages, but the page numbers are printed incorrectly. Every third page number has been omitted, so that the pages are numbered 1,2,4,5,7,8,... and so on. What is the number on the last printed page?​

Answers

Answer:

89

Step-by-step explanation:

There are only 30 pages but last page number is 89.

The last page of the book would be with the number 89. For details, check the calculations below.

Number System

The number system is characterized as the arrangement or sequence in which the numbers are arranged in a mathematical order beginning from 0 in whole numbers.

In the given situation,

We know that,

Total pages available in the book = 30

And every third page is omitted from the book due to misprinting of the page numbers.

If we divided 90/3 = 30 pages are there. Hence, the last page would be 89 itself.

Thus, the above response is correct.

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Help i dont understand pls help :(

Answers

Answer:

It is indefinite. The value of x is not fixed and continuous in this function. It will keep on changing with the change in y ..

If the circumference of a basketball is 29.5 inches, how many centimeters is the circumferenceof a basketball? Round your answer to the nearest whole centimeter.

Answers

Answer:

75 cm

Step-by-step explanation:

Every inch is 2.54 cm, so 29.5 in=74.93 cm. 74.93 rounded to the nearest whole is 75cm.

Answer:

75 cm

Step-by-step explanation:

Find an explicit formula for the arithmetic sequence -11, -3,5, 13, ....
b(n) =

Answers

Assuming the first term that you listed is the first term of the sequence, the answer should be:

b(n) = -19 +8n

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